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Chiral heterogeneous catalysts are mostly fabricated from chiral molecules on a metal support. They play a crucial role in intermediate reactions in the fabrication of pharmacies, itself and important part of today''s health economy. However, the key parameters in the fabrication of these catalysts, a requirements for their rational design, are still poorly understood despite years of experimental research. In essence, such an understanding can only come from high-level simulations. Here, we present the first predictions about the structure of such a catalyst, tartaric acid on a copper support, over the whole phase space of temperature and coverage. Interestingly, we find that molecular vibrations play a key role in the ensuing ordered structures, and that tuning the fabrication temperature should allow for a wide range of molecular separations, which can be targeted at specific molecules and reactions in chiral heterogeneous catalysis.